Boundary Value Problems

  • Ralph E. White
  • Venkat R. Subramanian


Mathematical modeling of mass or heat transfer in solids involves Fick’s law of mass transfer or Fourier’s law of heat conduction. Engineers are interested in the steady state distribution of heat or concentration across the slab or the material in which the experiment is performed. This steady state process involves solving second order ordinary differential equations subject to boundary conditions at two ends. Whenever the problem requires the specification of boundary conditions at two points, it is often called a two point boundary value problem. Both linear and nonlinear boundary value problems will be discussed in this chapter. We will present analytical solutions for linear boundary value problems and numerical solutions for nonlinear boundary value problems.


Series Solution Linear Boundary Nonlinear Boundary Effectiveness Factor Second Order Reaction 
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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Ralph E. White
    • Venkat R. Subramanian

      There are no affiliations available

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